1216814774140 has 192 divisors, whose sum is σ = 3093931008000. Its totient is φ = 392978386944.

The previous prime is 1216814774111. The next prime is 1216814774143. The reversal of 1216814774140 is 414774186121.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1216814774143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100982836 + ... + 100994884.

It is an arithmetic number, because the mean of its divisors is an integer number (16114224000).

Almost surely, 2^{1216814774140} is an apocalyptic number.

1216814774140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1216814774140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546965504000).

1216814774140 is an abundant number, since it is smaller than the sum of its proper divisors (1877116233860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1216814774140 is a wasteful number, since it uses less digits than its factorization.

1216814774140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12564 (or 12562 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 46.

The spelling of 1216814774140 in words is "one trillion, two hundred sixteen billion, eight hundred fourteen million, seven hundred seventy-four thousand, one hundred forty".